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Finding the Fourth Proportional to 7,208.97, 9,949.14 and 4,224.93

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Solution

The fourth proportional to 7,208.97, 9,949.14 and 4,224.93 is: 5,830.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,208.97 : 9,949.14 = 4,224.93 : x
  2. Step 2: Convert to fraction form
    7,208.97/9,949.14 = 4,224.93/x
  3. Step 3: Cross multiply
    7,208.97x = 9,949.14 × 4,224.93
  4. Step 4: Simplify right side
    7,208.97x = 42,034,420.06
  5. Step 5: Solve for x
    x = 42,034,420.06/7,208.97
  6. Step 6: Final answer
    x = 5,830.85

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.